L-structured quaternion matrices and quaternion linear matrix equations

DOI10.1080/03081087.2015.1037302zbMath1334.65075OpenAlexW1544008446MaRDI QIDQ2789425

Qing-Wen Wang, Shi-Fang Yuan

Publication date: 29 February 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1037302

zbMATH Keywords

Kronecker productMoore-Penrose generalized inverselinear matrix equationsquaternion matrix equationsL-structured quaternion matrices

Mathematics Subject Classification ID

Related Items (14)

Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\) ⋮ Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C ⋮ Two algebraic methods for least squares L-structured and generalized L-structured problems of the commutative quaternion Stein matrix equation ⋮ Least-squares solutions of generalized Sylvester-type quaternion matrix equations ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Sampling expansions associated with quaternion difference equations ⋮ Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE) = (C,F)\) ⋮ Algebraic techniques for the least squares problems in elliptic complex matrix theory and their applications ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ Real representation for solving reduced biquaternion matrix equations XF−AX=BY$$ XF- AX= BY $$ and XF−AX˜=BY$$ XF-A\tilde{X}= BY $$ ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Some quaternion matrix equations involving Φ-Hermicity

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